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Finding the Fourth Proportional to 662.15, 914.06 and 496.91

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Solution

The fourth proportional to 662.15, 914.06 and 496.91 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.15 : 914.06 = 496.91 : x
  2. Step 2: Convert to fraction form
    662.15/914.06 = 496.91/x
  3. Step 3: Cross multiply
    662.15x = 914.06 × 496.91
  4. Step 4: Simplify right side
    662.15x = 454,202.23
  5. Step 5: Solve for x
    x = 454,202.23/662.15
  6. Step 6: Final answer
    x = 685.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.